A magnifying glass shows the image of an object that is 10 times the objects actual size. Determine the length of the image of the object if the actual length of the object is 8 millimeters

Answer:

[tex]5400 \div 300000 \\ \\ = 0.018[/tex]

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

To learn more on Quadratic equation click:

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Answer:

21

Step-by-step explanation:

Create an equation: 3n - n = 14

Solve: 3n - n = 14

          2n = 14

           n = 7

Larger number: 3(7) = 21

Answer:

The numbers are 7 and 21.

Step-by-step explanation:

The difference is 14 and 7*3= 21

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Answer:

7 > F

Step-by-step explanation:

Penny has 7 dollars. Fred has fewer dollars than Penny. Left F=Fred

7. Fred has fewer dollars than Penny. Left F=Fred

7 > Left F=Fred

7 > F

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-4 1/4

-4 1/4

-3 1/3

-3.3

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope is found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(0 -(-4)) = -5/4

  slope = -5/4

The second point can be used to keep it simple.

  point: (0, 0)

Point-slope equation:

  y -0 = -5/4(x -0)

  y = -5/4x . . . . . . . simplified

Answer: B) 7x-6=-2x+2

Step-by-step explanation:

Answer:

32 square millimeters

Step-by-step explanation:

Parallelogram area formula => B x h

Base = 6 mm

Height = 4 mm

Area = 24 mm^2

Triangle area formula B x h x 1/2

Base = 8 mm

Height = 2 mm

Area = 8 mm^2

Total area = 24 + 8 = 32 mm^2

The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

As per the given parallelogram and a triangle,

The bigger side of parallelogram = 6 + 2 = 8mm

Smaller side = 6mm

The perpendicular distance between the sides of the parallelogram = 4mm

The base of the triangle = 2mm

Height of triangle = 4 mm

Therefore, the complete area ⇒

(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²

Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

Answer:

The second one is right

Step-by-step explanation:

Hope it helpssss

Answer: x-5 / x

Step-by-step explanation:

because…

Answer:

[tex]\frac{x - 5}{x}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }[/tex]

It can also be written as :-

[tex]=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}[/tex]

[tex]=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}[/tex]

Cancel x + 4 from numerator and denominator.

[tex]=> \frac{x - 5}{x}[/tex]

Answer:

1/2(10x+8)

Step-by-step explanation:

Combine like terms

13x+5x+(-8x) and -6+14

Answer:

y=10x-2x ................

Answer:

the one you picked was right.

Step-by-step explanation:

if 63° was the angle and the 12 was the side then "x" will be one the bottom. then you flip the fraction meaning 1/sin63° and x/12 and then multiply 12 on both sides. you will be left with x = 12/sin63°. sorry if that doesn't make sense

Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The probability associated with 3 heads are:

Hence:

[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]

The probability of 3 heads and the fair coin is:

[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]

0.1 = 10% probability that the chosen coin was the fair coin.

A similar problem is given at https://brainly.com/question/14398287

Answer:

z = [tex]\frac{4x}{3y}[/tex]

Step-by-step explanation:

x = [tex]\frac{3yz}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4x = 3yz ( isolate z by dividing both sides by 3y )

[tex]\frac{4x}{3y}[/tex] = z

Answer:

i dont know sorry

Step-by-step explanation:

pls ask someone else thanks have a nice day

$10.50

10 Tickets would be $105.00

$105.00 - $10.50 = $94.50 so 9 Tickets would be $94.50

$105.00 + $94.50 = $199.50

$205.00 - $199.50 = $5.50 which isn't enough for another ticket.

10 Tickets + 9 Tickets = 19 Tickets.

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Answer:

most of them would be 0

Step-by-step explanation:

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Answer:

92 dollars each luv:)

Step-by-step explanation:

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\textsf{Slope of: (10,4) (14,2) }[/tex]

[tex]\mathsf{Formula: m = \dfrac{y_2 - y_1}{x_2- x_1}}[/tex]

[tex]\textsf{Whereas }\downarrow[/tex]

[tex]\mathsf{y_2 = 14}[/tex]

[tex]\mathsf{y_1 = 10}[/tex]

[tex]\mathsf{x_2 = 2}[/tex]

[tex]\mathsf{x_1 = 4}[/tex]

[tex]\huge\boxed{\mathsf{EQUATION: \dfrac{14 - 10}{2 -4 }}}[/tex]

[tex]\huge\boxed{\mathsf{\rightarrow\dfrac{4}{-2}}}[/tex]

[tex]\huge\boxed{\mathsf{\rightarrow-2}}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer should be: \boxed{\mathsf{-2}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

x = 60

y = 30

Step-by-step explanation:

We know that all triangles' interior angles combined must have a sum of 180.

Since the triangle on the left is a equilateral triangle, we know that each angle is equal to 60.

Since we already know that the sum of the two angles in the top right is 90 (shown by the right angle symbol) and we know that the angle that isn't y is equal to 60, we must do the following step:

90 - 60 = y

90 - 60 = 30

y = 30

Now that we know the value of y, it's time to find the value of x.

We know that y = 30 and that the angle in the bottom right is equal to 90 (shown by right angle symbol).

Since all triangles' interior angles combined must have a sum of 180 and we already know that one angle is equal to 30 and the other is equal to 90, we must do the following:

180 - (90 + y) = x

180 - (90 + 30) = x

180 - 120 = x

180 - 120 = 60

x = 60

This gives us the answers y = 30 and x = 60